How many 4-letter passwords can be formed using the letters in the word "HONESTY" if the 4-letter password a) Begins with a vowel? b) Begins with a consonant? c) Begins with a consonant an

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: Given letters {A,B,J,K,X,Y}   a)Number of 5-letter word with repetition is =6×6×6×6×6=7776 ways

Q: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How many distinct ten-digit passwords are possible if you must use at least one 26 lower case letter…

A: Given: you must use at least one 26 lower case letter from {a, b, . . . , z}, at least one 26 upper…

Q: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

A: Given,  a password for a computer system must have at least 6, but no more than 9 characters, where…

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: Set A contains 19 elements, set B contains 22 elements, and 6 elements are common to sets A and B.…

A: A set is a well-defined collection of objects, these objects are called the elements of the sets.…

Q: A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. a. How many codes can be formed…

A: Given:

Q: In how many different ways can four keys, not two of which are the same, be arranged on a key ring…

A: We have to find the number of ways to arranging four keys on a key ring that has no clasp. Since the…

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: From the provided information, The letters are {A, B, J, K, X, Z} Total letters = 6

Q: To gain access to his account, a customer using an automatic teller machine (ATM) must enter a…

A:

Q: A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?,!,…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: 1. Haniemay wants to try all the 23 dishes and 6 desserts in offered in PUP lagoon but she is…

A: Combination is a way of selecting items from a collection under certain conditions. Here the order…

Q: How many different 4-color code stripes can ba made on a sports car if each code cconsists of the…

A: From the provided information, Number of colours in strips = 4 For the first pick, there are four…

Q: a. if the characters should not repeat? b. if the characters repeat? c. if the first 3 characters…

A: Given: A social media account requires a 6-character password. Passwords should only contain numbers…

Q: How many permutations of the letters of the word SECURITY end in a consonant? (Here, Y is a…

A:

Q: How many different passwords exist that consist of 12 characte using uppercase and lowercase…

A:

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

Q: Let's suppose that a password must contain 4 characters, where a character can be any of the digits…

A: Total number of digits = 5 Total number of letters = 26 Total options are 5 numbers + 26 letters =…

Q: b) How many three-digit phone prefixes are possible in which no digit appears more than once in each…

A: a) How many are three-digit phone prefixes that are used to represent a particular geographic area…

Q: How many different 2 letter passwords can be formed from the letters A, B, C, D, E, and F if no…

A:

Q: In a survey regarding Covid-19 check up, 525 persons registered for free check up, 300 persons…

A: Given:  n(A) = Number of people registered for free checkup =525n(B) = Number of people registered…

Q: In how many ways can ten different keys be arranged in a key chain if there are two sets of three…

A: here given,  there are total 10 keys arranged in key chain

Q: On February 20, 2004, the Ohio Bureau of Motor Vehiclesunveiled the state’s new license plate…

A: The license  plate contains 3 letters from A to Z followed by 4 digits from 0 to 9. Now all the…

Q: How many different 6-letter words can be made a. if the first letter must be B, Y, P, or M and no…

A:

Q: For a population containing N=903​ individuals, what code number would be assigned for a. the…

A: Given N=903

Q: (a) How many three-digit phone prefixes that are used to represent a particular geographic area…

A: HERE USE COMBINATION FOR FINDING POSSIBLE NO OF PREFIX WITH GIVEN CONSTRAINTS IN EACH PARTS

Q: If eight people greet each other at a meeting by shaking hands with one another, how many handshakes…

A:

Q: From the letters {A, B, C, D, E, F. G}, how :many 3-distinct-letters codes can be (a) generated? (b)…

A: a) 7C3 distinct codes can be generated by {A,B,C,D,E,F,G} which is equal to 21

Q: 9. in a 5-digit numeric password, how many possible combinations are there if a digit cannot be…

A:

Q: A website asks its users for a 9-character password that must satisfy the following conditions: a.…

A: The password is case sensitive. Therefore, capital letters (uppercase) and lowercase letters will be…

Q: 6 - How many different two-letter passwords can be formed using the letters A, B, C, D, E, and F if…

A: given letters A B C D E F total no. of letters = 6 we need a two letter password

Q: a. In how many different ways can the letters of the word computer be arranged if the letters co…

A:

Q: Assume that the committee consists of 11 members including Cecil. The same three offices are to be…

A: n = 11 members positions = 3 Problem can be solved using the concept of permutation and combination.

Q: 2. At a certain company, access codes nust pe 4 composed of the 26 lower case letters of the…

A: Let           A=Access codes 4 to 6 symbolsA1=Access codes with 4 symbolsA2=Access codes with 5…

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ?

A:

Q: Suppose we have 5 alphabets (a, b, c, d, e) and 5 envelops (?1,?2,?3,?4,?5)   In how many ways we…

A: Suppose we have 5 alphabets (a, b, c, d, e) and 5 envelops (?1,?2,?3,?4,?5)   In how many ways we…

Q: Assume that a license plate must be of length 7.  How many different license plates are possible…

A:

Q: 2. Suppose that a password for a computer system must have at least 8, but no more than 12,…

A: As Dr. S. N. De said "A permutation of a set is defined as an arrangement of its members into a…

Q: How many strings of eight English letters are there a) that contain no vowels, if letters can be…

A: Given the question that, How many strings of eight English letters are there- a) that…

Q: San Jac must assign a new employee a 7 digit phone number, but the first three digits must be 526.…

A: In 7 digit phone number 3 digits are given. So (7-3)=4 digits we have to fill. There are 10 numbers…

Q: Television and radio stations use four call letters starting with W or​ K, such as WXYZ or KRLD.…

A: the total number of alphabets between A to P is 16.

Q: How many possible passwords can be formed from the letters: ASSISTANT_TITAN ? How many different…

A: Permutation is arrangement of number of objects in definite order. npr=n!n-r!

Q: How many permutations can be made from the word CONVOCATION, such that all vowels must come…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: One company has 700 employees. Prove there are at least two employees that have the same inítials.…

A: There are 26 English alphabets. The first letter of initial of the name can be chosen in 26 ways.…

Q: 1.How many different four-letter passwords can be formed from the letters A, B, C, D, E, F and G if…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: ent Painters, which specializes in painting the exterior of residential buildings, has five people…

A: Given that, 5 people are available in painting the exterior of residential buildings.

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…

Q: 1. How many 4-letter passwords can be formed using the letters in the word "HONESTY" if the 4-letter…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Assuming that any skirt can be paired with any blouse, in how many ways can Anna select her…

A: Here close friend invited Anna to her birthday party. Anna has 4 new blouses (stripes, with ruffles,…